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Finding the Fourth Proportional to 4,201.58, 6,301.83 and 1,428.14

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Solution

The fourth proportional to 4,201.58, 6,301.83 and 1,428.14 is: 2,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.58 : 6,301.83 = 1,428.14 : x
  2. Step 2: Convert to fraction form
    4,201.58/6,301.83 = 1,428.14/x
  3. Step 3: Cross multiply
    4,201.58x = 6,301.83 × 1,428.14
  4. Step 4: Simplify right side
    4,201.58x = 8,999,895.50
  5. Step 5: Solve for x
    x = 8,999,895.50/4,201.58
  6. Step 6: Final answer
    x = 2,142.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.